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Finding the Fourth Proportional to 5,735.16, 8,584.74 and 3,945.75

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Solution

The fourth proportional to 5,735.16, 8,584.74 and 3,945.75 is: 5,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.16 : 8,584.74 = 3,945.75 : x
  2. Step 2: Convert to fraction form
    5,735.16/8,584.74 = 3,945.75/x
  3. Step 3: Cross multiply
    5,735.16x = 8,584.74 × 3,945.75
  4. Step 4: Simplify right side
    5,735.16x = 33,873,237.86
  5. Step 5: Solve for x
    x = 33,873,237.86/5,735.16
  6. Step 6: Final answer
    x = 5,906.24

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